Anonymity is a necessary property for postpaid micropayment schemes to protect the customers’ privacy. The customers also gain the shopping convenience in postpaid way. In 2006, Huang first proposed an anonymous postpaid micropayment scheme that needs a trusted bank to provide customers’ anonymity and finance services. However, the building and maintenance of trusted banks causes the impracticality of Huang’s scheme. To remove trusted banks, a postpaid micropayment scheme with revocable customers’ anonymity is proposed. Our scheme not only overcomes the impractical frauds in Huang’s scheme but also is more efficient and practical than Huang’s scheme. Moreover, our scheme is the first micropayment scheme adopting concurrent signature schemes to provide customer anonymity.